Elastic interior transmission eigenvalues and their computation via the method of fundamental solutions
Numerical Analysis
2019-09-06 v1 Numerical Analysis
Abstract
A stabilized version of the fundamental solution method to catch ill-conditioning effects is investigated with focus on the computation of complex-valued elastic interior transmission eigenvalues in two dimensions for homogeneous and isotropic media without voids. Its algorithm can be implemented very shortly and adopts to many similar PDE-based eigenproblems as long as the underlying fundamental solution function can be easily generated. We develop a corroborative approximation analysis which also implicates new basic results for transmission eigenfunctions and present some numerical examples which together prove successful feasibility of our eigenvalue recovery approach.
Keywords
Cite
@article{arxiv.1909.02402,
title = {Elastic interior transmission eigenvalues and their computation via the method of fundamental solutions},
author = {Andreas Kleefeld and Lukas Pieronek},
journal= {arXiv preprint arXiv:1909.02402},
year = {2019}
}